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Finding the Third Proportional to 124,347 and 268,350

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Solution

The third proportional to 124,347 and 268,350 is: 579,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,347 : 268,350 = 268,350 : x
  2. Step 2: Convert to fraction form
    124,347/268,350 = 268,350/x
  3. Step 3: Cross multiply
    124,347x = 268,350 × 268,350
  4. Step 4: Simplify right side
    124,347x = 72,011,722,500
  5. Step 5: Solve for x
    x = 72,011,722,500/124,347
  6. Step 6: Final answer
    x = 579,119.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.